Highest Common Factor of 6351, 3371 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6351, 3371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6351, 3371 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 6351, 3371 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 6351, 3371 is 1.

HCF(6351, 3371) = 1

HCF of 6351, 3371 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6351, 3371 is 1.

Highest Common Factor of 6351,3371 using Euclid's algorithm

Highest Common Factor of 6351,3371 is 1

Step 1: Since 6351 > 3371, we apply the division lemma to 6351 and 3371, to get

6351 = 3371 x 1 + 2980

Step 2: Since the reminder 3371 ≠ 0, we apply division lemma to 2980 and 3371, to get

3371 = 2980 x 1 + 391

Step 3: We consider the new divisor 2980 and the new remainder 391, and apply the division lemma to get

2980 = 391 x 7 + 243

We consider the new divisor 391 and the new remainder 243,and apply the division lemma to get

391 = 243 x 1 + 148

We consider the new divisor 243 and the new remainder 148,and apply the division lemma to get

243 = 148 x 1 + 95

We consider the new divisor 148 and the new remainder 95,and apply the division lemma to get

148 = 95 x 1 + 53

We consider the new divisor 95 and the new remainder 53,and apply the division lemma to get

95 = 53 x 1 + 42

We consider the new divisor 53 and the new remainder 42,and apply the division lemma to get

53 = 42 x 1 + 11

We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get

42 = 11 x 3 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6351 and 3371 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(53,42) = HCF(95,53) = HCF(148,95) = HCF(243,148) = HCF(391,243) = HCF(2980,391) = HCF(3371,2980) = HCF(6351,3371) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 6351, 3371 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 6351, 3371?

Answer: HCF of 6351, 3371 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6351, 3371 using Euclid's Algorithm?

Answer: For arbitrary numbers 6351, 3371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.